291 research outputs found
Identities of symmetry for q-Bernoulli polynomials
In this paper, we derive eight basic identities of symmetry in three
variables related to -Bernoulli polynomials and the -analogue of power
sums. These and most of their corollaries are new, since there have been
results only about identities of symmetry in two variables. These abundance of
symmetries shed new light even on the existing identities so as to yield some
further interesting ones. The derivations of identities are based on the
-adic integral expression of the generating function for the -Bernoulli
polynomials and the quotient of integrals that can be expressed as the
exponential generating function for the -analogue of power sums.Comment: No comment
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